





from __future__ import annotations

import os
from collections.abc import Mapping

lowerCAmelCase_        =							tuple[int, int]



class    __lowerCAmelCase			:






			def __init__(self   ,				__magic_name__   ,				__magic_name__       )	->  None:


							'''simple docstring'''



							snake_case_		:       set[int]           =    vertices
							snake_case_		:       dict[EdgeT, int]           =    {
							    (min(__magic_name__       ), max(__magic_name__       )): weight for edge, weight in edges.items()
							}






			def      lowerCamelCase    (self   ,				__magic_name__   ,				__magic_name__       )	->  None:


							'''simple docstring'''



							self.vertices.add(edge[0]       )
							self.vertices.add(edge[1]       )
							snake_case_		:       List[str]           =    weight






			def      lowerCamelCase    (self       )	->  Graph:


							'''simple docstring'''



							snake_case_		:       Graph           =    Graph({min(self.vertices       )}   ,				{}       )
							snake_case_		:       EdgeT
							snake_case_		:       int
							snake_case_		:       EdgeT
							snake_case_		:       int

							while len(subgraph.vertices       ) < len(self.vertices       ):
											snake_case_		:       List[Any]           =    max(self.edges.values()       ) + 1
											for edge, weight in self.edges.items():
															if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
																			if weight < min_weight:
																							snake_case_		:       Union[str, Any]           =    edge
																							snake_case_		:       Dict           =    weight

											subgraph.add_edge(__magic_name__   ,				__magic_name__       )

							return subgraph






def 	lowerCamelCase_		(							_UpperCamelCase = "p107_network.txt"					)						->		int:






				"""simple docstring"""


				snake_case_		:       str           =    os.path.abspath(os.path.dirname(_UpperCamelCase					)					)
				snake_case_		:       str           =    os.path.join(_UpperCamelCase					,							_UpperCamelCase					)
				snake_case_		:       dict[EdgeT, int]           =    {}
				snake_case_		:       list[str]
				snake_case_		:       int
				snake_case_		:       int

				with open(_UpperCamelCase					) as f:
								snake_case_		:       int           =    f.read().strip().split('''\n'''					)

				snake_case_		:       Union[str, Any]           =    [line.split(''','''					) for line in data]

				for edgea in range(1					,							len(_UpperCamelCase					)					):
								for edgea in range(_UpperCamelCase					):
												if adjaceny_matrix[edgea][edgea] != "-":
																snake_case_		:       Tuple           =    int(adjaceny_matrix[edgea][edgea]					)

				snake_case_		:       Graph           =    Graph(set(range(len(_UpperCamelCase					)					)					)					,							_UpperCamelCase					)

				snake_case_		:       Graph           =    graph.prims_algorithm()

				snake_case_		:       int           =    sum(graph.edges.values()					)
				snake_case_		:       int           =    sum(subgraph.edges.values()					)

				return initial_total - optimal_total


if __name__ == "__main__":
	print(F'''{solution() = }''')

'''simple docstring'''




def __lowerCAmelCase					(				UpperCamelCase__							,    UpperCamelCase__							,    UpperCamelCase__							)      ->       int:

    def count_of_possible_combinations(UpperCamelCase__							) -> int:
        if target < 0:
            return 0
        if target == 0:
            return 1
        return sum(count_of_possible_combinations(target - item							) for item in array							)

    return count_of_possible_combinations(UpperCamelCase__							)






def __lowerCAmelCase					(				UpperCamelCase__							,    UpperCamelCase__							,    UpperCamelCase__							)      ->       int:

    def count_of_possible_combinations_with_dp_array(
        UpperCamelCase__							,    UpperCamelCase__							) -> int:
        if target < 0:
            return 0
        if target == 0:
            return 1
        if dp_array[target] != -1:
            return dp_array[target]
        __lowerCamelCase            =    sum(
            count_of_possible_combinations_with_dp_array(target - item							,    UpperCamelCase__							)
            for item in array							)
        __lowerCamelCase            =    answer
        return answer

    __lowerCamelCase            =    [-1] * (target + 1)
    return count_of_possible_combinations_with_dp_array(UpperCamelCase__							,    UpperCamelCase__							)






def __lowerCAmelCase					(				UpperCamelCase__							,    UpperCamelCase__							,    UpperCamelCase__							)      ->       int:
    __lowerCamelCase            =    [0] * (target + 1)
    __lowerCamelCase            =    1

    for i in range(1							,    target + 1							):
        for j in range(UpperCamelCase__							):
            if i - array[j] >= 0:
                dp_array[i] += dp_array[i - array[j]]

    return dp_array[target]


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  __UpperCAmelCase					=3
  __UpperCAmelCase					=5
  __UpperCAmelCase					=[1, 2, 5]
  print(combination_sum_iv(n, array, target))
